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Finding the Fourth Proportional to 1,117.69, 1,675.59 and 492.52

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Solution

The fourth proportional to 1,117.69, 1,675.59 and 492.52 is: 738.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.69 : 1,675.59 = 492.52 : x
  2. Step 2: Convert to fraction form
    1,117.69/1,675.59 = 492.52/x
  3. Step 3: Cross multiply
    1,117.69x = 1,675.59 × 492.52
  4. Step 4: Simplify right side
    1,117.69x = 825,258.69
  5. Step 5: Solve for x
    x = 825,258.69/1,117.69
  6. Step 6: Final answer
    x = 738.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.